Finite Group Databasebeta

← #29482500

Subgroups — #29482500

Order 15104.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438678C211yesmaximal, characteristic, complemented
2#21438021C211yesmaximal, characteristic, complemented
3#21437181C211yesmaximal, characteristic, complemented
4#21437096C211yesmaximal, characteristic, complemented
5#21436924C211yesmaximal, characteristic, complemented
6#21436751C211yesmaximal, characteristic, complemented
7#21436418C211yesmaximal, characteristic, complemented
8#21436312C211yesmaximal, characteristic, complemented
9#21436301C211yesmaximal, characteristic, complemented
10#21436194C211yesmaximal, characteristic, complemented
11#21436080C211yesmaximal, characteristic, complemented
12#21435993C211yesmaximal, characteristic, complemented
13#21435781C211yesmaximal, characteristic, complemented
14#21435731C211yesmaximal, characteristic, complemented
15#21435727C211yesmaximal, characteristic, complemented
16#21435692C211yesmaximal, characteristic, complemented
17#21435634C211yesmaximal, characteristic, complemented
18#21435533C211yesmaximal, characteristic, complemented
19#21435515C211yesmaximal, characteristic, complemented
20#21435491C211yesmaximal, characteristic, complemented
21#21435186C211yesmaximal, characteristic, complemented
22#21435152C211yesmaximal, characteristic, complemented
23#21435069C211yesmaximal, characteristic, complemented
24#21434342C211yesmaximal, characteristic, complemented
25#21434299C211yesmaximal, characteristic, complemented
26#21434138C211yesmaximal, characteristic, complemented
27#21433647C211yesmaximal, characteristic, complemented
28#21433596C211yesmaximal, characteristic, complemented
29#21433557C211yesmaximal, characteristic, complemented
30#21433238C211yesmaximal, characteristic, complemented
31C59×#3264C211yesmaximal, characteristic, complemented
32C2×#14273756C2211yescharacteristic, complemented
33C2×#14273753C2211yescharacteristic
34C2×#14273753C2211yescharacteristic, complemented
35C2×#14273746C2211yescharacteristic
36#16838147—21no—
37#16838141—21no—
38#16838138C2211yescharacteristic, complemented
39#16838134C2211yescharacteristic, complemented
40#16838122C2211yescharacteristic, complemented
41#16838111C2211yescharacteristic, complemented
42#16838099C2211yescharacteristic
43#16838097—21no—
44#16838095—21no—
45#16838092C2211yescharacteristic
46#16838083—21no—
47#16838083—21no—
48#16838078—21no—
49#16838070C2211yescharacteristic, complemented
50#16838062C2211yescharacteristic, complemented
51#16838059C2211yescharacteristic, complemented
52#16838057C2211yescharacteristic
53#16838052C2211yescharacteristic, complemented
54#16838046—21no—
55#16838046C2211yescharacteristic
56#16838046C2211yescharacteristic, complemented
57#16838046C2211yescharacteristic, complemented
58#16838019C2211yescharacteristic
59#16838012C2211yescharacteristic, complemented
60#16838006C2211yescharacteristic, complemented
61#16838005—21no—
62#16838003C2211yescharacteristic, complemented
63#16837997—21no—
64#16837995—21no—
65#16837990—21no—
66#16837987—21no—
67#16837987—21no—
68#16837972C2211yescharacteristic, complemented
69#16837969C2211yescharacteristic, complemented
70#16837948C2211yescharacteristic, complemented
71#16837933C2211yescharacteristic, complemented
72#16837933C2211yescharacteristic, complemented
73#16837932C2211yescharacteristic
74#16837908—21no—
75C2×#14273708—21no—
76#16837881C2211yescharacteristic, complemented
77#16837877C2211yescharacteristic
78C2×D4×Dic59C2211yescharacteristic, complemented
79#16837790C2211yescharacteristic, complemented
80#16837785C2211yescharacteristic, complemented
81#16837785C2211yescharacteristic, complemented
82#16837783C2211yescharacteristic, complemented
83#16837774C2211yescharacteristic, complemented
84#16837771C2211yescharacteristic, complemented
85#16837760C2211yescharacteristic, complemented
86#16837758C2211yescharacteristic, complemented
87#16837756C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837744C2211yescharacteristic, complemented
91#16837740C2211yescharacteristic, complemented
92#16837738C2211yescharacteristic, complemented
93#16837722C2211yescharacteristic, complemented
94#16837718C2211yescharacteristic, complemented
95#16837714C2211yescharacteristic, complemented
96#16837712C2211yescharacteristic, complemented
97#16837712C2211yescharacteristic, complemented
98#16837704C2211yescharacteristic, complemented
99#16837704C2211yescharacteristic, complemented
100#16837703C2211yescharacteristic, complemented
101#16837702C2211yescharacteristic, complemented
102#16837700C2211yescharacteristic, complemented
103#16837700C2211yescharacteristic, complemented
104#16837695C2211yescharacteristic, complemented
105#16837686C2211yescharacteristic, complemented
106#16837660C2211yescharacteristic, complemented
107#16837658C2211yescharacteristic, complemented
108#16837654C2211yescharacteristic, complemented
109#16837652C2211yescharacteristic, complemented
110#16837646C2211yescharacteristic
111#16837646C2211yescharacteristic, complemented
112#16837646C2211yescharacteristic, complemented
113#16837643C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic, complemented
115#16837635C2211yescharacteristic, complemented
116#16837623C2211yescharacteristic, complemented
117#16837623C2211yescharacteristic, complemented
118#16837623C2211yescharacteristic, complemented
119#16837622C2211yescharacteristic, complemented
120#16837621C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic, complemented
122#16837619C2211yescharacteristic, complemented
123#16837615C2211yescharacteristic
124#16837615C2211yescharacteristic
125#16837615C2211yescharacteristic
126#16837615C2211yescharacteristic, complemented
127#16837615C2211yescharacteristic, complemented
128#16837615C2211yescharacteristic, complemented
129#16837615C2211yescharacteristic, complemented
130#16837615C2211yescharacteristic, complemented
131#16837613C2211yescharacteristic, complemented
132#16837611C2211yescharacteristic, complemented
133#16837607C2211yescharacteristic, complemented
134#16837605C2211yescharacteristic, complemented
135#16837605C2211yescharacteristic, complemented
136#16837605C2211yescharacteristic, complemented
137#16837601C2211yescharacteristic, complemented
138#16837595C2211yescharacteristic
139#16837595C2211yescharacteristic
140#16837595C2211yescharacteristic, complemented
141#16837595C2211yescharacteristic, complemented
142#16837595C2211yescharacteristic, complemented
143#16837594C2211yescharacteristic, complemented
144#16837566C2211yescharacteristic, complemented
145#16837566C2211yescharacteristic, complemented
146#16837564C2211yescharacteristic, complemented
147#16837553C2211yescharacteristic
148#16837553C2211yescharacteristic, complemented
149#16837553C2211yescharacteristic, complemented
150#16837548C2211yescharacteristic, complemented
151#16837545C2211yescharacteristic
152#16837545C2211yescharacteristic, complemented
153#16837544C2211yescharacteristic
154#16837544C2211yescharacteristic, complemented
155#16837544C2211yescharacteristic, complemented
156#16837539C2211yescharacteristic, complemented
157#16837539C2211yescharacteristic, complemented
158#16837530C2211yescharacteristic, complemented
159#16837526C2211yescharacteristic, complemented
160#16837504C2211yescharacteristic, complemented
161#16837503C2211yescharacteristic, complemented
162#16837499C2211yescharacteristic, complemented
163#16837493C2211yescharacteristic, complemented
164#16837493C2211yescharacteristic, complemented
165#16837493C2211yescharacteristic, complemented
166SD16×Dic59C2211yescharacteristic, complemented
167C4×#11745670C2211yescharacteristic, complemented
168D8×Dic59C2211yescharacteristic
169D8×Dic59C2211yescharacteristic, complemented
170C4×#11745669C2211yescharacteristic, complemented
171#16837480C2211yescharacteristic
172#16837478C2211yescharacteristic, complemented
173#16837477C2211yescharacteristic, complemented
174#16837476C2211yescharacteristic, complemented
175C8×C22⋊D59C2211yescharacteristic, complemented
176#16837464C2211yescharacteristic, complemented
177#16837460C2211yescharacteristic, complemented
178#16837452C2211yescharacteristic, complemented
179#16837428C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837425C2211yescharacteristic, complemented
182#16837407C2211yescharacteristic, complemented
183#16837404C2211yescharacteristic, complemented
184#16837403C2211yescharacteristic, complemented
185#16837400C2211yescharacteristic, complemented
186#16837399C2211yescharacteristic, complemented
187#103×D59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic
189C22×D8×C59C2211yescharacteristic
190C59×#546C2211yescharacteristic
191D42×C59C2211yescharacteristic
192C59×#496C2211yescharacteristic
193C59×#469C2211yescharacteristic
194C59×#465C2211yescharacteristic
195C59×#463C2211yescharacteristic
196C59×#459C2211yescharacteristic
197C59×#450C2211yescharacteristic
198C59×#449C2211yescharacteristic
199C59×#447C2211yescharacteristic
200C59×#447C2211yescharacteristic
201C59×#442C2211yescharacteristic
202C59×#435C2211yescharacteristic
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745687—21no—
206C2×#11745687C2311yescharacteristic
207C2×#11745687C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C23×Dic59—21no—
210#14273756—42no—
211#14273753—42no—
212#14273753—42no—
213#14273746—42no—
214C2×Dic236C2311yescharacteristic
215C2×Dic236C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745660C2311yescharacteristic
218C2×#11745670C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745664C2311yescharacteristic
230C2×#11745664C2311yescharacteristic
231C2×#11745659C2311yescharacteristic
232C2×C8×D59C2311yescharacteristic
233#14273727C2311yescharacteristic
234#14273726C2311yescharacteristic
235#14273725C2311yescharacteristic
236#14273723—21no—
237#14273723C2311yescharacteristic
238#14273723C2311yescharacteristic
239#14273722D411yescharacteristic
240#14273720—21no—
241#14273720—21no—
242#14273720—21no—
243#14273720—21no—
244#14273720—21no—
245#14273720—21no—
246#14273720—21no—
247#14273720—21no—
248#14273720—21no—
249#14273720D411yescharacteristic
250#14273719C2311yescharacteristic
251#14273718—21no—
252#14273718C2311yescharacteristic
253#14273718C2311yescharacteristic
254#14273717—21no—
255#14273717—21no—
256#14273717D411yescharacteristic
257#14273716C2311yescharacteristic
258#14273714—21no—
259#14273714—21no—
260#14273714—21no—
261#14273714C2311yescharacteristic
262#14273714C2311yescharacteristic
263#14273714C2311yescharacteristic
264#14273714C2311yescharacteristic
265#14273714C2311yescharacteristic
266#14273713—21no—
267#14273713—21no—
268#14273713D411yescharacteristic
269#14273711—21no—
270#14273711D411yescharacteristic
271#14273710—21no—
272#14273709—21no—
273#14273709—21no—
274#14273709—21no—
275#14273709—21no—
276#14273709—21no—
277#14273709—21no—
278#14273709—21no—
279#14273708—21no—
280#14273708—21no—
281#14273708—21no—
282#14273708—21no—
283#14273708—21no—
284#14273708—21no—
285#14273708—21no—
286#14273708—21no—
287#14273708—21no—
288#14273708—21no—
289#14273708—21no—
290#14273708—21no—
291#14273708—21no—
292#14273708D411yescharacteristic
293#14273706—21no—
294#14273706—21no—
295#14273706—21no—
296#14273706C2311yescharacteristic
297#14273706C2311yescharacteristic
298#14273706C2311yescharacteristic
299#14273706C2311yescharacteristic
300#14273705—21no—
301#14273704—21no—
302#14273704—21no—
303#14273704—21no—
304#14273704—21no—
305#14273704—21no—
306#14273704—21no—
307#14273704D411yescharacteristic
308#14273702C2311yescharacteristic
309#14273701—21no—
310#14273700—21no—
311#14273700—21no—
312#14273700—21no—
313#14273699—21no—
314#14273699—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699D411yescharacteristic
322#14273698—21no—
323#14273698—21no—
324#14273698—21no—
325#14273698—21no—
326#14273698—21no—
327#14273698C2311yescharacteristic
328#14273698C2311yescharacteristic
329#14273698C2311yescharacteristic
330#14273696—21no—
331#14273696—21no—
332#14273696—21no—
333#14273696—21no—
334#14273696—21no—
335Q8×Dic59C2311yescharacteristic
336C4×Dic118C2311yescharacteristic
337C4×Dic118C2311yescharacteristic
338#14273692C2311yescharacteristic
339#14273692C2311yescharacteristic
340#14273692C2311yescharacteristic
341C4×D236C2311yescharacteristic
342D4×Dic59—21no—
343D4×Dic59—21no—
344D4×Dic59—21no—
345D4×Dic59—21no—
346D4×Dic59—21no—
347D4×Dic59—21no—
348D4×Dic59—21no—
349D4×Dic59C2311yescharacteristic
350D4×Dic59C2311yescharacteristic
351D4×Dic59C2311yescharacteristic
352D4×Dic59C2311yescharacteristic
353D4×Dic59C2311yescharacteristic
354D4×Dic59C2311yescharacteristic
355D4×Dic59C2311yescharacteristic
356D4×Dic59C2311yescharacteristic
357#14273689—21no—
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361C4×C22⋊D59—21no—
362C4×C22⋊D59C2311yescharacteristic
363C4×C22⋊D59C2311yescharacteristic
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4—21no—
368#14273686—21no—
369#14273686C2311yescharacteristic
370#14273686C2311yescharacteristic
371#14273684C2311yescharacteristic
372#14273683—21no—
373#14273683—21no—
374#14273683—21no—
375#14273683—21no—
376C2×C4⋊Dic59C2311yescharacteristic
377C2×Dic59⋊C4—21no—
378C2×Dic59⋊C4—21no—
379C4⋊C4×D59—21no—
380C4⋊C4×D59C2311yescharacteristic
381C2×C22⋊Dic59—21no—
382C2×C22⋊Dic59—21no—
383C2×C22⋊Dic59—21no—
384C2×C22⋊Dic59—21no—
385C2×C22⋊Dic59—21no—
386C2×C22⋊Dic59—21no—
387C2×C4×Dic59C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273661C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434#14273637C2311yescharacteristic
435C4×C59⋊C8C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C22×D4×C59—21no—
441C22×D4×C59C2311yescharacteristic
442C22×D4×C59C2311yescharacteristic
443C22×D4×C59C2311yescharacteristic
444AGL(1,ℤ/8)×C59—42no—
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×D8×C59—42no—
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C2×D8×C59C2311yescharacteristic
455C2×M16×C59C2311yescharacteristic
456C22×C8×C59C2311yescharacteristic
457#127×C59C2311yescharacteristic
458#124×C59C2311yescharacteristic
459#123×C59—21no—
460C22⋊Q8×C59C2311yescharacteristic
461#121×C59—21no—
462#121×C59—21no—
463#121×C59C2311yescharacteristic
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466#120×C59—21no—
467#120×C59—21no—
468#120×C59—21no—
469C4×D4×C59C2311yescharacteristic
470C4×D4×C59C2311yescharacteristic
471C4×D4×C59C2311yescharacteristic
472C2×C22⋊C4×C59—21no—
473#106×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C24×C59—21no—
485C24×C59—21no—
486C24×C59—21no—
487#41×C59—41no—
488#41×C59—41no—
489C2×Q8×C59C2411yescharacteristic
490C2×D4×C59—22no—
491C2×D4×C59—22no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—41no—
502C2×D4×C59—41no—
503C2×D4×C59—41no—
504C2×D4×C59—41no—
505C2×D4×C59—82no—
506C2×D4×C59C2×D411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59C2411yescharacteristic
516C22×C4×C59C2411yescharacteristic
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59C2×D411yescharacteristic
529C2×C22⋊D59C2×D411yescharacteristic
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59—21no—
540C22×Dic59—21no—
541C22×Dic59—82no—
542C22×Dic59C2×D411yescharacteristic
543C22×Dic59C2×D411yescharacteristic
544Q8×D59—41no—
545Q8×D59—41no—
546#11745687—22no—
547#11745687—41no—
548#11745687—41no—
549#11745687—41no—
550#11745687—82no—
551#11745685—41no—
552#11745685—41no—
553#11745685—41no—
554#11745685—41no—
555C2×D236—21no—
556C2×D236C2411yescharacteristic
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59C2411yescharacteristic
563C2×Dic118—21no—
564C2×Dic118—21no—
565C2×Dic118C2×D411yescharacteristic
566C2×Dic118C2411yescharacteristic
567C2×Dic118C2411yescharacteristic
568C2×Dic118C2411yescharacteristic
569SD16×C59—22no—
570SD16×C59—41no—
571SD16×C59—41no—
572D8×C59—22no—
573D8×C59—22no—
574D8×C59—41no—
575D8×C59—41no—
576D8×C59—41no—
577D8×C59—41no—
578M16×C59—41no—
579C2×C8×C59—41no—
580C2×C8×C59C2411yescharacteristic
581C2×C8×C59C2411yescharacteristic
582C2×C8×C59C2411yescharacteristic
583C2×C8×C59C2411yescharacteristic
584C4⋊C4×C59—21no—
585C4⋊C4×C59C2×D411yescharacteristic
586C4⋊C4×C59C2411yescharacteristic
587C4⋊C4×C59C2411yescharacteristic
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59C2×D411yescharacteristic
597C22⋊C4×C59C2×D411yescharacteristic
598C42×C59C2411yescharacteristic
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59C2×D411yescharacteristic
626C22⋊Dic59C2×D411yescharacteristic
627C22⋊Dic59C2×D411yescharacteristic
628C22⋊Dic59C2×D411yescharacteristic
629#11745672—41no—
630#11745670—22no—
631#11745670—22no—
632#11745670—41no—
633#11745670—41no—
634#11745670—41no—
635#11745670—41no—
636#11745670—41no—
637#11745670—41no—
638#11745669—22no—
639#11745669—41no—
640#11745669—41no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4C2×D411yescharacteristic
646(C2×D59)⋊C4C2×D411yescharacteristic
647(C2×D59)⋊C4C2×D411yescharacteristic
648(C2×D59)⋊C4C2×D411yescharacteristic
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59—21no—
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59C2×D411yescharacteristic
656C4⋊Dic59C2×D411yescharacteristic
657C4⋊Dic59C2×D411yescharacteristic
658C4⋊Dic59C2411yescharacteristic
659C4⋊Dic59C2411yescharacteristic
660C4⋊Dic59C2411yescharacteristic
661C4⋊Dic59C2411yescharacteristic
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C4×Dic59C2411yescharacteristic
694C4×Dic59C2411yescharacteristic
695#11745664—41no—
696#11745664—41no—
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701Dic236—41no—
702Dic236—41no—
703#11745660—41no—
704#11745659—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—42no—
712C23×C59—42no—
713C23×C59—42no—
714C23×C59—81no—
715C23×C59—81no—
716C23×C59—81no—
717C23×C59—81no—
718C23×C59—81no—
719C23×C59—81no—
720C23×C59C22×D411yescharacteristic
721C23×C59C22×D411yescharacteristic
722C22×D59—21no—
723C22×D59C22×D411yescharacteristic
724Q8×C59—21no—
725Q8×C59—21no—
726D4×C59—21no—
727D4×C59—21no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—41no—
736D4×C59—42no—
737D4×C59—42no—
738D4×C59—42no—
739D4×C59—81no—
740D4×C59—81no—
741D4×C59—81no—
742D4×C59—81no—
743D4×C59—81no—
744D4×C59—81no—
745D4×C59H(5,𝔽2)12yes—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—81no—
754C2×C4×C59—81no—
755C2×C4×C59—81no—
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C2511yescharacteristic
761C22⋊D59—41no—
762C22⋊D59—41no—
763C22⋊D59—42no—
764C22⋊D59—81no—
765C22⋊D59—81no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—41no—
782C2×Dic59—41no—
783C2×Dic59—42no—
784C2×Dic59—42no—
785C2×Dic59—81no—
786C2×Dic59—81no—
787C2×Dic59—81no—
788C2×Dic59—81no—
789C2×Dic59—81no—
790C2×Dic59—81no—
791C2×Dic59—81no—
792C2×Dic59—81no—
793C2×Dic59—81no—
794C2×Dic59C22×D411yescharacteristic
795C2×Dic59C22×D411yescharacteristic
796C2×Dic59C22×D411yescharacteristic
797C2×Dic59C22×D411yescharacteristic
798C2×Dic59C22×D411yescharacteristic
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801D236—21no—
802D236—21no—
803D236—81no—
804C4×D59—21no—
805C4×D59—21no—
806C4×D59—81no—
807C4×D59—81no—
808C4×D59—81no—
809C4×D59—81no—
810C4×D59—81no—
811Dic118—21no—
812Dic118—21no—
813Dic118—21no—
814Dic118—21no—
815Dic118—21no—
816Dic118—21no—
817Dic118—41no—
818Dic118—81no—
819Dic118—81no—
820C8×C59—21no—
821C8×C59—21no—
822C8×C59—21no—
823C8×C59—21no—
824C59⋊C8—21no—
825C59⋊C8—21no—
826C59⋊C8—21no—
827C59⋊C8—21no—
828#62028—591nomaximal, Sylow
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—21no—
832C22×C59—21no—
833C22×C59—22no—
834C22×C59—21no—
835C22×C59—21no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—84no—
851C22×C59—162no—
852C22×C59—162no—
853C22×C59C23×D411yescharacteristic
854C2×D59—21no—
855C2×D59—21no—
856C2×D59—21no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C4×C59—21no—
861C4×C59—21no—
862C4×C59—21no—
863C4×C59—21no—
864C4×C59—41no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59C2×H(5,𝔽2)11yescharacteristic
868C4×C59#58511yescharacteristic
869Dic59—21no—
870Dic59—21no—
871Dic59—21no—
872Dic59—21no—
873Dic59—21no—
874Dic59—21no—
875Dic59—21no—
876Dic59—41no—
877Dic59—41no—
878Dic59—41no—
879Dic59—41no—
880Dic59—41no—
881Dic59—41no—
882Dic59—41no—
883#3562—591no—
884#3513—591no—
885#3403—591no—
886#3394—591no—
887#3376—591no—
888#3361—591no—
889#3332—591no—
890#3323—591no—
891#3322—591no—
892#3315—591no—
893#3308—591no—
894#3301—591no—
895#3280—591no—
896#3275—591no—
897#3275—591no—
898#3272—591no—
899#3268—591no—
900#3264D5911yescharacteristic, complemented
901#3259—591no—
902#3258—591no—
903#3256—591no—
904#3224—591no—
905#3221—591no—
906#3212—591no—
907#3123—591no—
908#3119—591no—
909#3105—591no—
910#3046—591no—
911#3041—591no—
912#3036—591no—
913#2993—591no—
914C2×C59—41no—
915C2×C59—41no—
916C2×C59—42no—
917C2×C59—81no—
918C2×C59—81no—
919C2×C59—81no—
920C2×C59—81no—
921C2×C59#348811yescharacteristic
922C2×C59#358411yescharacteristic
923C2×C59#358511yescharacteristic
924D59—41no—
925D59—81no—
926C2×#137—591no—
927C2×AGL(1,ℤ/8)—591no—
928C2×AGL(1,ℤ/8)—591no—
929C2×AGL(1,ℤ/8)C2×D5911yescharacteristic
930C2×#135—591no—
931C22×D8C2×D5911yescharacteristic
932#562—1181no—
933#560—1181no—
934#559—591no—
935#559—591no—
936#556—591no—
937#554—591no—
938#553—591no—
939#553—1181no—
940#553—1181no—
941#552—591no—
942#551—1181no—
943#551—1181no—
944#551—1181no—
945#550—591no—
946#548—591no—
947#548—591no—
948#547—591no—
949#547—591no—
950#546—591no—
951#546—591no—
952#546—591no—
953#546—1181no—
954#546C2×D5911yescharacteristic
955D42C2×D5911yescharacteristic
956#542—591no—
957#541—591no—
958#540—591no—
959#540—591no—
960#540—1181no—
961#539—1181no—
962#539—1181no—
963#538—1181no—
964#538—1181no—
965#538—1181no—
966#536—591no—
967#535—591no—
968#532—591no—
969#529—591no—
970#529—591no—
971#529—591no—
972#525—1181no—
973C2×#123—1181no—
974#520—591no—
975#518—591no—
976C2×C4×D4—591no—
977#496—591no—
978#496C2×D5911yescharacteristic
979#495—591no—
980#495—591no—
981#495—591no—
982#492—591no—
983#491—591no—
984#489—591no—
985#488—591no—
986#488—591no—
987#488—591no—
988#486—591no—
989#485—591no—
990#485—591no—
991#484—591no—
992#481—591no—
993#481—591no—
994#480—591no—
995#479—591no—
996#479—591no—
997#478—591no—
998#478—591no—
999#478—591no—
1000#478—591no—
1001#478—591no—
1002#478—591no—
1003#477—591no—
1004#475—591no—
1005#470—591no—
1006#470—591no—
1007#469—591no—
1008#469—591no—
1009#469C2×D5911yescharacteristic
1010#468—591no—
1011#468—591no—
1012#468—591no—
1013#467—591no—
1014#466—591no—
1015#466—591no—
1016#465C2×D5911yescharacteristic
1017#464—591no—
1018#464—591no—
1019#464—591no—
1020#464—591no—
1021#464—591no—
1022#463—591no—
1023#463—591no—
1024#463—591no—
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#463—591no—
1030#463—591no—
1031#463—591no—
1032#463C2×D5911yescharacteristic
1033#462—591no—
1034#462—591no—
1035#461—591no—
1036#461—591no—
1037#461—591no—
1038#461—591no—
1039#460—591no—
1040#459—591no—
1041#459—591no—
1042#459—591no—
1043#459—591no—
1044#459—591no—
1045#459—591no—
1046#459C2×D5911yescharacteristic
1047#452—591no—
1048#452—591no—
1049#452—591no—
1050#450—591no—
1051#450—591no—
1052#450—591no—
1053#450C2×D5911yescharacteristic
1054#449—591no—
1055#449—591no—
1056#449—591no—
1057#449—591no—
1058#449—591no—
1059#449—591no—
1060#449C2×D5911yescharacteristic
1061#448—591no—
1062#448—591no—
1063#447C2×D5911yescharacteristic
1064#447C2×D5911yescharacteristic
1065#446—591no—
1066C8×Q8—591no—
1067#442C2×D5911yescharacteristic
1068#440—591no—
1069#440—591no—
1070#440—591no—
1071C4×SD16—591no—
1072C4×SD16—591no—
1073C4×SD16—591no—
1074C4×SD16—591no—
1075C4×SD16—591no—
1076C4×D8—591no—
1077C4×D8—591no—
1078C4×D8—591no—
1079#436—591no—
1080#436—591no—
1081#436—591no—
1082#435—591no—
1083#435C2×D5911yescharacteristic
1084C8×D4—591no—
1085#433—591no—
1086#433—591no—
1087#431—591no—
1088#424—591no—
1089#424—591no—
1090#423—591no—
1091#418—591no—
1092#417—591no—
1093#417—591no—
1094#417—591no—
1095#416—591no—
1096C2×#103—591no—
1097C59#6202811yescharacteristic, complemented, Sylow
1098C2×#41—591no—
1099C2×#41—591no—
1100C2×#41—591no—
1101C2×#41—591no—
1102C2×#41—1181no—
1103C2×#41C22×D5911yescharacteristic
1104C22×Q8—591no—
1105C22×D4—21no—
1106C22×D4C22×D5911yescharacteristic
1107C22×D4C22×D5911yescharacteristic
1108C22×D4C22×D5911yescharacteristic
1109C23×C4—1181no—
1110#137—2362no—
1111AGL(1,ℤ/8)—42no—
1112AGL(1,ℤ/8)—2362no—
1113AGL(1,ℤ/8)—2362no—
1114#135—2362no—
1115C2×Q16—591no—
1116C2×Q16—591no—
1117C2×Q16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—591no—
1127C2×SD16C22×D5911yescharacteristic
1128C2×SD16C22×D5911yescharacteristic
1129C2×SD16C22×D5911yescharacteristic
1130C2×D8—42no—
1131C2×D8—591no—
1132C2×D8—591no—
1133C2×D8—591no—
1134C2×D8C22×D5911yescharacteristic
1135C2×D8C22×D5911yescharacteristic
1136C2×D8C22×D5911yescharacteristic
1137C2×D8C22×D5911yescharacteristic
1138C2×D8C22×D5911yescharacteristic
1139C2×D8C22×D5911yescharacteristic
1140C2×M16—591no—
1141C2×M16—591no—
1142C2×M16—591no—
1143C2×M16C22×D5911yescharacteristic
1144C22×C8—591no—
1145C22×C8C22×D5911yescharacteristic
1146C4⋊Q8—591no—
1147C4⋊Q8—591no—
1148C4⋊Q8—591no—
1149#127—591no—
1150#127—591no—
1151#127—1181no—
1152#127C22×D5911yescharacteristic
1153#126—591no—
1154#126—591no—
1155#126—1181no—
1156#126—1181no—
1157#126—1181no—
1158#126—1181no—
1159#126—1181no—
1160#126—1181no—
1161#126—1181no—
1162#126—1181no—
1163#126—1181no—
1164#125—591no—
1165#125—591no—
1166#125—591no—
1167#125—591no—
1168#125—1181no—
1169#125—1181no—
1170#125—1181no—
1171#124—591no—
1172#124—591no—
1173#124—591no—
1174#124—591no—
1175#124—591no—
1176#124—591no—
1177#124—591no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124C22×D5911yescharacteristic
1184#123—21no—
1185#123—591no—
1186#123—591no—
1187#123—1181no—
1188#123—1181no—
1189#123—1181no—
1190#123—1181no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—591no—
1212C22⋊Q8—591no—
1213C22⋊Q8—591no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8—1181no—
1224C22⋊Q8C22×D5911yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—591no—
1228#121—591no—
1229#121—591no—
1230#121—591no—
1231#121—591no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121C22×D5911yescharacteristic
1250#121C22×D5911yescharacteristic
1251#121C22×D5911yescharacteristic
1252#120—21no—
1253#120—21no—
1254#120—21no—
1255#120—1181no—
1256#120—1181no—
1257#120—1181no—
1258#120—1181no—
1259#120—1181no—
1260C4×Q8—591no—
1261C4×Q8—591no—
1262C4×Q8—591no—
1263C4×Q8—591no—
1264C4×Q8—591no—
1265C4×Q8—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4C22×D5911yescharacteristic
1294C4×D4C22×D5911yescharacteristic
1295C4×D4C22×D5911yescharacteristic
1296#117—591no—
1297#117—591no—
1298#117—591no—
1299#117—1181no—
1300#117—1181no—
1301#117—1181no—
1302#117—1181no—
1303#117—1181no—
1304C2×C4⋊C4—591no—
1305C2×C4⋊C4—591no—
1306C2×C4⋊C4—1181no—
1307C2×C4⋊C4—1181no—
1308C2×C4⋊C4—1181no—
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—1181no—
1311C2×C22⋊C4—1181no—
1312C2×C22⋊C4—1181no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C22⋊C4—1181no—
1316C2×C42—591no—
1317#107—591no—
1318#107—591no—
1319#107—591no—
1320#107—591no—
1321#106—591no—
1322#106—591no—
1323#106—591no—
1324#106C22×D5911yescharacteristic
1325C4⋊C8—591no—
1326C4⋊C8—591no—
1327C4⋊C8—591no—
1328C4⋊C8—591no—
1329C4⋊C8—591no—
1330C4⋊C8—591no—
1331C4⋊C8—591no—
1332C4⋊C8—591no—
1333C4⋊C8—591no—
1334C4⋊C8C22×D5911yescharacteristic
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103—591no—
1340#103—591no—
1341#103—591no—
1342#103—591no—
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103C22×D5911yescharacteristic
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102C22×D5911yescharacteristic
1363#102C22×D5911yescharacteristic
1364#102C22×D5911yescharacteristic
1365#102C22×D5911yescharacteristic
1366#102C22×D5911yescharacteristic
1367C22⋊C8—591no—
1368C22⋊C8—591no—
1369C22⋊C8—591no—
1370C22⋊C8—591no—
1371C22⋊C8C22×D5911yescharacteristic
1372C22⋊C8C22×D5911yescharacteristic
1373#97—591no—
1374#97C22×D5911yescharacteristic
1375C4×C8—591no—
1376C4×C8—591no—
1377C4×C8—591no—
1378C4×C8—591no—
1379C24—21no—
1380C24—21no—
1381C24—21no—
1382#41—41no—
1383#41—41no—
1384#41—1182no—
1385#41—4722no—
1386#41—2361no—
1387#41—2361no—
1388#41—2361no—
1389#41—2361no—
1390#41—2361no—
1391#41—2361no—
1392#41—2361no—
1393C2×Q8—591no—
1394C2×Q8—591no—
1395C2×Q8—591no—
1396C2×Q8—591no—
1397C2×Q8—1181no—
1398C2×Q8—1181no—
1399C2×Q8—2361no—
1400C2×Q8—2361no—
1401C2×Q8C23×D5911yescharacteristic
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—82no—
1418C2×D4—591no—
1419C2×D4—591no—
1420C2×D4—591no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4D4×D5911yescharacteristic
1434C2×D4C23×D5911yescharacteristic
1435C2×D4C23×D5911yescharacteristic
1436C2×D4C23×D5911yescharacteristic
1437C2×D4C23×D5911yescharacteristic
1438C2×D4C23×D5911yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—591no—
1443C22×C4—591no—
1444C22×C4—591no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—1181no—
1452C22×C4—1181no—
1453C22×C4—1181no—
1454C22×C4—1181no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—4722no—
1462C22×C4C23×D5911yescharacteristic
1463C22×C4C23×D5911yescharacteristic
1464Q16—2361no—
1465Q16—2361no—
1466Q16—2361no—
1467SD16—22no—
1468SD16—41no—
1469SD16—41no—
1470SD16—1182no—
1471SD16—1182no—
1472SD16—2361no—
1473SD16—2361no—
1474SD16—2361no—
1475SD16—2361no—
1476SD16—2361no—
1477SD16—2361no—
1478SD16—2361no—
1479D8—22no—
1480D8—22no—
1481D8—41no—
1482D8—41no—
1483D8—41no—
1484D8—41no—
1485D8—1182no—
1486D8—2361no—
1487D8—2361no—
1488M16—41no—
1489M16—2361no—
1490M16—2361no—
1491M16—2361no—
1492C2×C8—41no—
1493C2×C8—591no—
1494C2×C8—591no—
1495C2×C8—591no—
1496C2×C8—591no—
1497C2×C8—2361no—
1498C2×C8C23×D5911yescharacteristic
1499C2×C8C23×D5911yescharacteristic
1500C2×C8C23×D5911yescharacteristic
1501C2×C8C23×D5911yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—591no—
1504C4⋊C4—591no—
1505C4⋊C4—591no—
1506C4⋊C4—591no—
1507C4⋊C4—591no—
1508C4⋊C4—591no—
1509C4⋊C4—591no—
1510C4⋊C4—591no—
1511C4⋊C4—591no—
1512C4⋊C4—591no—
1513C4⋊C4—591no—
1514C4⋊C4—591no—
1515C4⋊C4—591no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4D4×D5911yescharacteristic
1539C4⋊C4C23×D5911yescharacteristic
1540C4⋊C4C23×D5911yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—591no—
1550C22⋊C4—591no—
1551C22⋊C4—591no—
1552C22⋊C4—591no—
1553C22⋊C4—591no—
1554C22⋊C4—591no—
1555C22⋊C4—591no—
1556C22⋊C4—591no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4D4×D5911yescharacteristic
1588C22⋊C4D4×D5911yescharacteristic
1589C42—591no—
1590C42—591no—
1591C42—591no—
1592C42—591no—
1593C42—591no—
1594C42—1181no—
1595C42—1181no—
1596C42—1181no—
1597C42—1181no—
1598C42—1181no—
1599C42—1181no—
1600C42C23×D5911yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—42no—
1607C23—42no—
1608C23—42no—
1609C23—81no—
1610C23—81no—
1611C23—81no—
1612C23—81no—
1613C23—81no—
1614C23—81no—
1615C23—591no—
1616C23—1181no—
1617C23C2×D4×D5911yescharacteristic
1618C23C2×D4×D5911yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—1181no—
1622Q8—1181no—
1623Q8—1181no—
1624Q8—1181no—
1625Q8—1181no—
1626Q8—1181no—
1627Q8—4721no—
1628Q8—4721no—
1629Q8—2361no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—21no—
1639D4—41no—
1640D4—42no—
1641D4—42no—
1642D4—42no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—1181no—
1650D4—1181no—
1651D4—4721no—
1652D4—4721no—
1653D4—4721no—
1654D4—4721no—
1655D4—4721no—
1656D4—4721no—
1657D4—4721no—
1658D4—4721no—
1659D4—4721no—
1660D4—4721no—
1661D4—4721no—
1662D4—2361no—
1663D4—2361no—
1664D4—2362no—
1665D4#1427377212yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—591no—
1677C2×C4—591no—
1678C2×C4—591no—
1679C2×C4—591no—
1680C2×C4—591no—
1681C2×C4—591no—
1682C2×C4—591no—
1683C2×C4—1181no—
1684C2×C4—1181no—
1685C2×C4—1181no—
1686C2×C4—1181no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—1181no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—4721no—
1693C2×C4—4721no—
1694C2×C4—4721no—
1695C2×C4—4721no—
1696C2×C4—4721no—
1697C2×C4—4721no—
1698C2×C4—4721no—
1699C2×C4—4721no—
1700C2×C4—4721no—
1701C2×C4—4721no—
1702C2×C4—4721no—
1703C2×C4—4721no—
1704C2×C4—4721no—
1705C2×C4—4721no—
1706C2×C4—2361no—
1707C2×C4—2361no—
1708C2×C4—2362no—
1709C2×C4—2362no—
1710C2×C4C2×D4×D5911yescharacteristic
1711C2×C4C2×D4×D5911yescharacteristic
1712C2×C4C2×D4×D5911yescharacteristic
1713C2×C4C2×D4×D5911yescharacteristic
1714C2×C4C24×D5911yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1181no—
1720C8—1181no—
1721C8—1181no—
1722C8—1181no—
1723C22—21no—
1724C22—21no—
1725C22—22no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—84no—
1745C22—162no—
1746C22—162no—
1747C22—1181no—
1748C22—1181no—
1749C22—1181no—
1750C22—2361no—
1751C22—2361no—
1752C22—2361no—
1753C22C22×D4×D5911yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—1181no—
1762C4—1181no—
1763C4—1181no—
1764C4—1181no—
1765C4—1181no—
1766C4—1181no—
1767C4—1181no—
1768C4—2361no—
1769C4—2361no—
1770C4—2361no—
1771C4—2361no—
1772C4—2361no—
1773C4—2361no—
1774C4—2361no—
1775C4C2×#1427377211yescharacteristic
1776C4#1683823711yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—42no—
1780C2—81no—
1781C2—81no—
1782C2—81no—
1783C2—81no—
1784C2—4721no—
1785C2—2361no—
1786C2#2143775611yescharacteristic
1787C2#2143886411yescharacteristic
1788C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3264C2
socleC22×C59C23×D4
hypercenter#3264D59
hypocenterC59#62028
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #21438678C2semidirect
2. #21438021C2semidirect
3. #21437181C2semidirect
4. #21437096C2semidirect
5. #21436924C2semidirect
6. #21436751C2semidirect
7. #21436418C2semidirect
8. #21436312C2semidirect
9. #21436301C2semidirect
10. #21436194C2semidirect
11. #21436080C2semidirect
12. #21435993C2semidirect
13. #21435781C2semidirect
14. #21435731C2semidirect
15. #21435727C2semidirect
16. #21435692C2semidirect
17. #21435634C2semidirect
18. #21435533C2semidirect
19. #21435515C2semidirect
20. #21435491C2semidirect
21. #21435186C2semidirect
22. #21435152C2semidirect
23. #21435069C2semidirect
24. #21434342C2semidirect
25. #21434299C2semidirect
26. #21434138C2semidirect
27. #21433647C2semidirect
28. #21433596C2semidirect
29. #21433557C2semidirect
30. #21433238C2semidirect
31. C59×#3264C2semidirect
32. C2×#14273756C22semidirect
34. C2×#14273753C22semidirect
38. #16838138C22semidirect
39. #16838134C22semidirect
40. #16838122C22semidirect
41. #16838111C22semidirect
49. #16838070C22semidirect
50. #16838062C22semidirect
51. #16838059C22semidirect
53. #16838052C22semidirect
56. #16838046C22semidirect
57. #16838046C22semidirect
59. #16838012C22semidirect
60. #16838006C22semidirect
62. #16838003C22semidirect
68. #16837972C22semidirect
69. #16837969C22semidirect
70. #16837948C22semidirect
71. #16837933C22semidirect
72. #16837933C22semidirect
76. #16837881C22semidirect
78. C2×D4×Dic59C22semidirect
79. #16837790C22semidirect
80. #16837785C22semidirect
81. #16837785C22semidirect
82. #16837783C22semidirect
83. #16837774C22semidirect
84. #16837771C22semidirect
85. #16837760C22semidirect
86. #16837758C22semidirect
87. #16837756C22semidirect
88. #16837755C22semidirect
89. #16837747C22semidirect
90. #16837744C22semidirect
91. #16837740C22semidirect
92. #16837738C22semidirect
93. #16837722C22semidirect
94. #16837718C22semidirect
95. #16837714C22semidirect
96. #16837712C22semidirect
97. #16837712C22semidirect
98. #16837704C22semidirect
99. #16837704C22semidirect
100. #16837703C22semidirect
101. #16837702C22semidirect
102. #16837700C22semidirect
103. #16837700C22semidirect
104. #16837695C22semidirect
105. #16837686C22semidirect
106. #16837660C22semidirect
107. #16837658C22semidirect
108. #16837654C22semidirect
109. #16837652C22semidirect
111. #16837646C22semidirect
112. #16837646C22semidirect
113. #16837643C22semidirect
114. #16837637C22semidirect
115. #16837635C22semidirect
116. #16837623C22semidirect
117. #16837623C22semidirect
118. #16837623C22semidirect
119. #16837622C22semidirect
120. #16837621C22semidirect
121. #16837619C22semidirect
122. #16837619C22semidirect
126. #16837615C22semidirect
127. #16837615C22semidirect
128. #16837615C22semidirect
129. #16837615C22semidirect
130. #16837615C22semidirect
131. #16837613C22semidirect
132. #16837611C22semidirect
133. #16837607C22semidirect
134. #16837605C22semidirect
135. #16837605C22semidirect
136. #16837605C22semidirect
137. #16837601C22semidirect
140. #16837595C22semidirect
141. #16837595C22semidirect
142. #16837595C22semidirect
143. #16837594C22semidirect
144. #16837566C22semidirect
145. #16837566C22semidirect
146. #16837564C22semidirect
148. #16837553C22semidirect
149. #16837553C22semidirect
150. #16837548C22semidirect
152. #16837545C22semidirect
154. #16837544C22semidirect
155. #16837544C22semidirect
156. #16837539C22semidirect
157. #16837539C22semidirect
158. #16837530C22semidirect
159. #16837526C22semidirect
160. #16837504C22semidirect
161. #16837503C22semidirect
162. #16837499C22semidirect
163. #16837493C22semidirect
164. #16837493C22semidirect
165. #16837493C22semidirect
166. SD16×Dic59C22semidirect
167. C4×#11745670C22semidirect
169. D8×Dic59C22semidirect
170. C4×#11745669C22semidirect
172. #16837478C22semidirect
173. #16837477C22semidirect
174. #16837476C22semidirect
175. C8×C22⋊D59C22semidirect
176. #16837464C22semidirect
177. #16837460C22semidirect
178. #16837452C22semidirect
179. #16837428C22semidirect
180. #16837427C22semidirect
181. #16837425C22semidirect
182. #16837407C22semidirect
183. #16837404C22semidirect
184. #16837403C22semidirect
185. #16837400C22semidirect
186. #16837399C22semidirect
187. #103×D59C22semidirect
900. #3264D59semidirect
1097. C59#62028semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#214386782
#214380212
#214371812
#214370962
#214369242
#214367512
#214364182
#214363122
#214363012
#214361942
#214360802
#214359932
#214357812
#214357312
#214357272
#214356922
#214356342
#214355332
#214355152
#214354912
#214351862
#214351522
#214350692
#214343422
#214342992
#214341382
#214336472
#214335962
#214335572
#214332382
C59×#32642
#6202859